Larger physical volume with a noncompact lattice regularization of SU(N) theories

TL;DR

This paper extends a noncompact lattice regularization method from SU(2) to SU(N) theories, demonstrating its applicability and effects on physical volume in lattice gauge theories.

Contribution

It generalizes a noncompact regularization approach from SU(2) to SU(N) theories, enabling broader application in lattice gauge theory simulations.

Findings

Physical volume is larger with noncompact regularization compared to Wilson theory.

Method successfully extended to SU(N) for any N.

Potential for improved lattice simulations with larger physical volumes.

Abstract

Recently it has been found that in a noncompact formulation of the SU(2) gauge theory on a lattice the physical volume is larger than in the Wilson theory with the same number of sites. In its original formulation such noncompact regularization is directly applicable to U(N) theories for any N and to SU(N) theories for N=2 only. In this work we extend it to SU(N) for any N and investigate some of its properties.